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Finding the Third Proportional to 17,696,998.97 and 37,853,006.06

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Solution

The third proportional to 17,696,998.97 and 37,853,006.06 is: 80,965,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696,998.97 : 37,853,006.06 = 37,853,006.06 : x
  2. Step 2: Convert to fraction form
    17,696,998.97/37,853,006.06 = 37,853,006.06/x
  3. Step 3: Cross multiply
    17,696,998.97x = 37,853,006.06 × 37,853,006.06
  4. Step 4: Simplify right side
    17,696,998.97x = 1,432,850,067,967,661.75
  5. Step 5: Solve for x
    x = 1,432,850,067,967,661.75/17,696,998.97
  6. Step 6: Final answer
    x = 80,965,708.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.